How do you find the horizontal asymptote of an exponential function?

To find the horizontal asymptote, identify the constant added or subtracted from the exponential term. The asymptote is $$y = c$$ in the function $$f(x) = a \times b^x + c$$ .

What does it mean for a function to be increasing?

A function is increasing if, for any two points $$x_1

What is the significance of the y-intercept in an exponential function?

The y-intercept indicates the initial value of the function when $$x = 0$$ , which is crucial for understanding the function's behavior.

What is the effect of changing the base of an exponential function?

Changing the base affects the rate of growth or decay of the function. A larger base results in faster growth, while a base between 0 and 1 results in decay.

How do you determine if an exponential function is increasing or decreasing?

Examine the base $$b$$ : if $$b > 1$$ , the function is increasing; if $$0

What is the domain of an exponential function?

The domain of an exponential function is all real numbers, expressed as $$(-\text{∞}, \text{∞})$$ .

What is a vertical asymptote?

A vertical asymptote is a vertical line $$x = k$$ that the graph approaches but never touches, typically found in rational functions, not exponential functions.

How can you graph an exponential function?

To graph an exponential function, plot the y-intercept, identify the horizontal asymptote, and determine if the function is increasing or decreasing based on the base.

Characteristics of Exponential Functions Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is an exponential function?

Back

2.

FLASHCARD QUESTION

Front

What is the horizontal asymptote of an exponential function?

Back

Tags

CCSS.HSF-IF.C.7E

3.

FLASHCARD QUESTION

Front

Where is the graph of an exponential function positive?

Back

Tags

CCSS.HSF-IF.C.7E

4.

FLASHCARD QUESTION

Front

What is the range of an exponential function?

Back

Tags

CCSS.HSF-IF.C.7E

5.

FLASHCARD QUESTION

Front

What is the y-intercept of an exponential function?

Back

Tags

CCSS.HSF-IF.C.7E

6.

FLASHCARD QUESTION

Front

Is an exponential function increasing or decreasing?

Back

Tags

CCSS.HSF-IF.C.7E

7.

FLASHCARD QUESTION

Front

What is the base of an exponential function?

Back

Tags

CCSS.HSF-IF.C.8B

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